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141134031440 = 2452398238969
BaseRepresentation
bin1000001101110000111…
…1100110101001010000
3111111021212120122102122
42003130033212221100
54303020303001230
6144500332033412
713124301321263
oct2033417465120
9444255518378
10141134031440
1154944532806
1223429602868
13104027c990c
146b8c0a8cda
153a1057abe5
hex20dc3e6a50

141134031440 has 80 divisors (see below), whose sum is σ = 329946739200. Its totient is φ = 56142836736.

The previous prime is 141134031413. The next prime is 141134031443. The reversal of 141134031440 is 44130431141.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141134031443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15731276 + ... + 15740244.

It is an arithmetic number, because the mean of its divisors is an integer number (4124334240).

Almost surely, 2141134031440 is an apocalyptic number.

141134031440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141134031440 is an abundant number, since it is smaller than the sum of its proper divisors (188812707760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

141134031440 is a wasteful number, since it uses less digits than its factorization.

141134031440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10044 (or 10038 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 141134031440 its reverse (44130431141), we get a palindrome (185264462581).

The spelling of 141134031440 in words is "one hundred forty-one billion, one hundred thirty-four million, thirty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 239 478 823 956 1195 1646 1912 2390 3292 3824 4115 4780 6584 8230 8969 9560 13168 16460 17938 19120 32920 35876 44845 65840 71752 89690 143504 179380 196697 358760 393394 717520 786788 983485 1573576 1966970 2143591 3147152 3933940 4287182 7381487 7867880 8574364 10717955 14762974 15735760 17148728 21435910 29525948 34297456 36907435 42871820 59051896 73814870 85743640 118103792 147629740 171487280 295259480 590518960 1764175393 3528350786 7056701572 8820876965 14113403144 17641753930 28226806288 35283507860 70567015720 141134031440